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Efficient algorithm to determine all numbers having a given totient value?

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#number-theory #elementary-number-theory #inverse-function #totient-function
80
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Totient number for which the smallest element of the inverse is even?

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#number-theory #elementary-number-theory #totient-function
108
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Given a positive integer $m$ , how can I construct a positive integer $k$ such that $\varphi(n)=k$ has exactly $m$ solutions?

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#number-theory #elementary-number-theory #totient-function
390
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Can a composite number $n$ be the arithmetic mean of $\sigma(n)$ and $\varphi(n)$?

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#number-theory #totient-function #divisor-sum
296
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Do further prime numbers of the form $n^n+\varphi(n)$ exist?

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#number-theory #elementary-number-theory #prime-numbers #totient-function
114
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Primes of the form $\ \varphi(n)^{\varphi(n)}+n\ $ or $\ n^n+\varphi(n)\ $ for composite $n$?

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#number-theory #elementary-number-theory #prime-numbers #totient-function
2.9k
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What is the last digit of $38^{2011}$?

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#modular-arithmetic #totient-function
181
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Prove that there are infinitely many even nontotients

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#number-theory #elementary-number-theory #totient-function
361
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Reference for Euler totient function identity?

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#number-theory #analytic-number-theory #totient-function
189
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Are there infinite many solutions of $\ \ |\varphi(n+1)-\varphi(n)|=2\ \ $?

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#number-theory #elementary-number-theory #totient-function
1.5k
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Is $\phi(n) + \sigma(n) \geq 2n$ always true?

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#elementary-number-theory #inequality #totient-function #divisor-sum
1k
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Does there exist $a_0$, such that $\{a_n\}_{n=0}^{\infty}$ is unbounded?

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#number-theory #elementary-number-theory #recurrence-relations #totient-function #divisor-sum
129
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Modulo Arithmetic: Proof of Basic Property

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#modular-arithmetic #induction #totient-function #multiplicative-function
40
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Similar to Lehmar's totient problem

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#number-theory #divisibility #totient-function
937
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Euler totient function and groups.

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#finite-groups #totient-function

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